TOFO:
No, and we never did "carry out searches for people around the world".
We never did this and we would not be doing it now even if we still had an MPA. If we got involved with some random search for some random yacht/ship/aircraft outwith our area it was because we happened to be carrying out ops in that neck of the woods already. Not because we were sent there to do it.
That's not true. A Nimrod was deployed to ASI specifically to search for an aircraft that had gone missing somewhere in the S Atlantic between ASI and Africa. Don't remember the details, because I wasn't there, but I believe that an account was published in Air Clues.